Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras
Mathematical Physics
2009-11-10 v2 math.MP
Quantum Algebra
Abstract
Deformed parabose and parafermi algebras are revised and endowed with Hopf structure in a natural way. The noncocommutative coproduct allows for construction of parastatistics Fock-like representations, built out of the simplest deformed bose and fermi representations. The construction gives rise to quadratic algebras of deformed anomalous commutation relations which define the generalized Green ansatz.
Keywords
Cite
@article{arxiv.math-ph/0412016,
title = {Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras},
author = {Boyka Aneva and Todor Popov},
journal= {arXiv preprint arXiv:math-ph/0412016},
year = {2009}
}
Comments
14 pages, final version